Topic/Skill Definition/TipsTopic: Graphs and GraphExample
Transformations
1. Coordinates Written in pairs. The first term is the x- A: (4,7)
coordinate (movement across). The B: (-6,-3)
second term is the y-coordinate
(movement up or down)
2. Linear Straight line graph. Example:
Graph The equation of a linear graph can contain Other examples:
an x-term, a y-term and a number. x= y
y=4
x=−2
y=2 x−7
y + x=10
2 y−4 x=12
3. Quadratic A ‘U-shaped’ curve called a parabola.
Graph The equation is of the form
y=a x2 +bx +c , where a , b and c are
numbers, a ≠ 0.
If a< 0, the parabola is upside down.
4. Cubic Graph The equation is of the form y=ax 3+ k ,
where k is an number.
If a> 0, the curve is increasing.
If a< 0, the curve is decreasing.
5. Reciprocal A
The equation is of the form y= , where A
Graph x
is a number and x ≠ 0 .
The graph has asymptotes on the x-axis
and y-axis.
6.Subject:
Asymptote Maths
A straight line that a graph approaches
but never touches.
Mr A. Coleman Glyn School
Transformations
1. Coordinates Written in pairs. The first term is the x- A: (4,7)
coordinate (movement across). The B: (-6,-3)
second term is the y-coordinate
(movement up or down)
2. Linear Straight line graph. Example:
Graph The equation of a linear graph can contain Other examples:
an x-term, a y-term and a number. x= y
y=4
x=−2
y=2 x−7
y + x=10
2 y−4 x=12
3. Quadratic A ‘U-shaped’ curve called a parabola.
Graph The equation is of the form
y=a x2 +bx +c , where a , b and c are
numbers, a ≠ 0.
If a< 0, the parabola is upside down.
4. Cubic Graph The equation is of the form y=ax 3+ k ,
where k is an number.
If a> 0, the curve is increasing.
If a< 0, the curve is decreasing.
5. Reciprocal A
The equation is of the form y= , where A
Graph x
is a number and x ≠ 0 .
The graph has asymptotes on the x-axis
and y-axis.
6.Subject:
Asymptote Maths
A straight line that a graph approaches
but never touches.
Mr A. Coleman Glyn School
